New generalized midpoint type inequalities for fractional integral

H. Budak; P. Agarwal

doi:10.18514/MMN.2019.2525

New generalized midpoint type inequalities for fractional integral

H. Budak
, P. Agarwal

Duzce University
International College of Engineering

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Here, our first aim to establish a new identity for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain same generalized midpoint type inequalities utilizing convex and concave function.

Original language	English
Pages (from-to)	781-793
Number of pages	13
Journal	Miskolc Mathematical Notes
Volume	20
Issue number	2
DOIs	https://doi.org/10.18514/MMN.2019.2525
State	Published - 2019
Externally published	Yes

Keywords

Concave function
Convex function
Fractional integral operators
Hermite-Hadamard inequality

Access to Document

10.18514/MMN.2019.2525

Cite this

@article{12210af86da94ada9a07410fa740b5b5,

title = "New generalized midpoint type inequalities for fractional integral",

abstract = "Here, our first aim to establish a new identity for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain same generalized midpoint type inequalities utilizing convex and concave function.",

keywords = "Concave function, Convex function, Fractional integral operators, Hermite-Hadamard inequality",

author = "H. Budak and P. Agarwal",

note = "Publisher Copyright: {\textcopyright} 2019 Miskolc University Press.",

year = "2019",

doi = "10.18514/MMN.2019.2525",

language = "English",

volume = "20",

pages = "781--793",

journal = "Miskolc Mathematical Notes",

issn = "1787-2405",

publisher = "University of Miskolc",

number = "2",

}

TY - JOUR

T1 - New generalized midpoint type inequalities for fractional integral

AU - Budak, H.

AU - Agarwal, P.

PY - 2019

Y1 - 2019

N2 - Here, our first aim to establish a new identity for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain same generalized midpoint type inequalities utilizing convex and concave function.

AB - Here, our first aim to establish a new identity for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain same generalized midpoint type inequalities utilizing convex and concave function.

KW - Concave function

KW - Convex function

KW - Fractional integral operators

KW - Hermite-Hadamard inequality

UR - https://www.scopus.com/pages/publications/85077723413

U2 - 10.18514/MMN.2019.2525

DO - 10.18514/MMN.2019.2525

M3 - Article

AN - SCOPUS:85077723413

SN - 1787-2405

VL - 20

SP - 781

EP - 793

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 2

ER -

New generalized midpoint type inequalities for fractional integral

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this